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Finding the Fourth Proportional to 31,383.84, 43,309.95 and 17,954.28

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Solution

The fourth proportional to 31,383.84, 43,309.95 and 17,954.28 is: 24,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383.84 : 43,309.95 = 17,954.28 : x
  2. Step 2: Convert to fraction form
    31,383.84/43,309.95 = 17,954.28/x
  3. Step 3: Cross multiply
    31,383.84x = 43,309.95 × 17,954.28
  4. Step 4: Simplify right side
    31,383.84x = 777,598,969.09
  5. Step 5: Solve for x
    x = 777,598,969.09/31,383.84
  6. Step 6: Final answer
    x = 24,777.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.